DLMF:3.4.E29 (Q1233): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
Defining formula:

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2ahdec
Property / Symbols used
 
Property / Symbols used: Q11166 / rank
 
Normal rank
Property / Symbols used: Q11166 / qualifier
 
Defining formula:

u 𝑢 {\displaystyle{\displaystyle u}}

u
Property / Symbols used: Q11166 / qualifier
 
xml-id: C3.S4.XMD6.m1idec

Latest revision as of 17:49, 1 January 2020

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DLMF:3.4.E29
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    Statements

    Defining formula
    ∇ 2 ⁡ u 0 , 0 = 1 12 ⁢ h 2 ⁢ ( - 60 ⁢ u 0 , 0 + 16 ⁢ ( u 1 , 0 + u 0 , 1 + u - 1 , 0 + u 0 , - 1 ) - ( u 2 , 0 + u 0 , 2 + u - 2 , 0 + u 0 , - 2 ) ) + O ⁡ ( h 4 ) . superscript ∇ 2 subscript 𝑢 0 0 1 12 superscript ℎ 2 60 subscript 𝑢 0 0 16 subscript 𝑢 1 0 subscript 𝑢 0 1 subscript 𝑢 1 0 subscript 𝑢 0 1 subscript 𝑢 2 0 subscript 𝑢 0 2 subscript 𝑢 2 0 subscript 𝑢 0 2 Big-O superscript ℎ 4 {\displaystyle{\displaystyle\nabla^{2}u_{0,0}=\frac{1}{12h^{2}}\left(-60u_{0,0% }+16(u_{1,0}+u_{0,1}+u_{-1,0}+u_{0,-1})-(u_{2,0}+u_{0,2}+u_{-2,0}+u_{0,-2})% \right)+O\left(h^{4}\right).}}
    0 references
    DLMF id
    DLMF:3.4.E29
    0 references
    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2ahdec
    0 references
    Q11166
    Defining formula
    u 𝑢 {\displaystyle{\displaystyle u}}
    xml-id
    C3.S4.XMD6.m1idec
    0 references
     
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